Shop G had 74 kg of sugar and Shop H had 122 kg of sugar. After both shops sold an equal amount of sugar, Shop G had
25 as much sugar as Shop H. How much sugar did both shops sell?
| |
Shop G |
Shop H |
Difference |
| Before |
74 |
122 |
48 |
| Change |
- ? |
- ? |
|
| After |
2 u |
5 u |
3 u |
The difference between the amount of sugar at first and in the end remains unchanged.
Difference in the mass of sugar in the end
= 5 u - 2 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Mass of sugar in Shop G in the end
= 2 u
= 2 x 16
= 32 kg
Mass of sugar that each shop sold
= 74 - 32
= 42 kg
Amount of sugar that both shops sold
= 2 x 42
= 84 kg
Answer(s): 84 kg
